okay, I appriciate the help. It seems that this is the same as setting up the circuit in series. (V1+V2+V3=V, Q1=Q2=Q3=Q) Is there no difference when setting up the circuit in parallel? I was thinking V1=V2=V3=V, and Q1+Q2+Q3=Q.

okay, I appriciate the help. It seems that this is the same as setting up the circuit in series. (V1+V2+V3=V, Q1=Q2=Q3=Q) Is there no difference when setting up the circuit in parallel? I was thinking V1=V2=V3=V, and Q1+Q2+Q3=Q.

The difference is that the currents are not the same. [itex]I_L, I_C \text{ and } I_R[/itex] will be different. They are necessarily the same when in series.

Since all elements are in parallel they have the same voltage drop.
You have three currents:
[tex]i_R(t) = \frac{V_s(t)}{R}[/tex]
[tex]i_C(t) = C\frac{dV_s(t)}{dt}[/tex]
[tex]i_L(t) = i_L(0) + \frac{1}{L}\int_{0}^{t}V_s(\tau)d\tau[/tex]
Where [tex]V_s(t) = V_0 cos(\omega t)[/tex]